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zimovet [89]
3 years ago
7

Convert the improper fraction into a mixed number. 6 1/8 divided by 1 3/4

Mathematics
1 answer:
Goryan [66]3 years ago
7 0

Answer:

4 19/32

Step-by-step explanation:

convert into improper fractions

6 1/8= 49/8

1 x 3/4= 3/4

49/8 x 3/4 = 147/32

reduce into mixed number

4 19/32

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What is the length of HL ?
Morgarella [4.7K]

Answer:

21

Step-by-step explanation:

You know the length of JK 12

you also know the length of GF 2.5*12=30

HL is a mid segment because it cuts both legs it intersects in half.

Using the rule saying that the mid segment is half the bases added up we can figure out that HL = (12+30)/2 = 21

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3 years ago
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Find the perimeter of a regular octagon if one side has a measure of 8 cm A. 72cm B. 64 cm C. 16cm D. 56 cm
cricket20 [7]
B) 64 cm because 8+8+8+8+8+8+8+8, also known as 8x8=64
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There are 6 cakes in a box. The box and cakes weigh 250 grams altogether. The box weighs 22 grams. Each cake weights the same. W
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5 0
4 years ago
The domain of f(x) is the set of all real values except 7, and the domain of g(x) is the set of all real values except -3. Which
Maurinko [17]

Answer:

The option is: <em>all real values except x = 7 and the x for which f(x) = -3</em>

Step-by-step explanation:

As the domain of f(x) is the set of all real values except 7. So it can be written as follows:

              Domain of f(x) = { x ∈ R | x ≠ 7}

As the domain of g(x) is the set of all real values except -3. So it can be written as follows:

              Domain of g(x) = { x ∈ R | x ≠ -3}

It is a common rule that the domain of a composite function (gºf)(x) will be the set of those input x in the domain of f for which f(x) is in the domain of g.

So, the option is: <em>all real values except x = 7 and the x for which f(x) = -3</em>

Keywords:  domain, composite function

Learn more domain and composite functions from brainly.com/question/2073574

#LearnwithBrainly

3 0
3 years ago
3.If the ratio of lynx to mountain lions and wolverines in the park is 2:3:1.So for every 2 lynx, there are 3 mountain lions and
Zolol [24]
A.  The ratio of lynx to mountain lions to wolverines is 2:3:1.

Thus, there are 2 lynx in the ratio.  If there were 6 lynx, we would have to multiply all of the numbers in the ratio by 3 (because 6/2 = 3) to keep the ratio in the same proportion.  

Therefore, because there is 1 wolverine in the ratio, and 1 * 3 = 3, if there were 6 lynx, there would be 3 wolverines.

b. We can use the same ideas that we had in part a to help us in part b.
There are 3 mountain lions in the ratio, but there are 15 mountain lions in the problem.  Thus, the multiplier is 5, because 15/3=5.

Therefore, because there are 2 lynx in the ratio, and 2*5 = 10, if there were 15 mountain lions, there would be 10 lynx.

c.  There is one wolverine in the ratio, but there are 10 wolverines in the problem.  Thus, the multiplier is 10, because 10/1 = 10

Therefore, because there are 3 mountain lions in the ratio, and 3 * 10 = 30, if there were 10 wolverines in the park, then there would be 30 mountain lions.

d.  The total number of lynx, mountain lions, and wolverines is 30.
To find out how many of each animal there should be, we must make an equation using the ratio and the variable x. 

2x + 3x + 1x = 30

This equation means that the total number of animals together is 30, which is true.  Now let's simplify by combining like terms.

6x = 30

Finally, we can simplify by dividing both sides by the coefficient of x, or 6.

x = 5

Thus, going back to our original equation, we know that the amount of lynx is 2x, mountain lions is 3x, and wolverines is 1x.

Lynx = 2x = 2(5) = 10 lynx
Mountain Lion = 3x = 3(5) = 15 mountain lions
Wolverines = 1x = 1(5) = 5 wolverines

Hope this helps! :)

7 0
4 years ago
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